Asymptotic behavior of cooperative systems involving p-Laplacian operators

This work is devoted to the analysis of the asymptotic behavior of a parameter dependent quasilinear cooperative eigenvalue system when a parameter in front of some non-negative potentials approaches infinity. In particular we consider operators of p-Laplacian type. We prove that the eigenfunctions concentrate on the subdomains where those potentials vanish at the limit, while the eigenvalue approaches an upper bound that will depend on those subdomains. We also show several properties for the unusual limiting problems.

Asymptotic behavior of cooperative systems involving p-Laplacian operators Articles